Parallel, Perpendicular & Skew Lines

Document Sample
Parallel, Perpendicular & Skew Lines Powered By Docstoc
					• TUESDAY is the last day to turn in any absent or late
  work (no late exceptions since the quarter ends soon!)
• THURSDAY: All 3rd Quarter Warm Ups are due. They
  are on my website! If you have been absent you
  must make up the warm ups.
  7th grade = 24
• Warms Ups are worth 50 points! This can bring up your
  B+ to an A-, or can bring down your A to a B.
• FRIDAY: For extra credit turn in your hall pass. Put
  your name on it before you turn it in (green).
      CLASS REMINDERS
• Today in class you will get your current grade.
• If you are missing an assignment you will get a slip
  showing what you are missing.
• ab= ABSENT mi= MISSING
• If your assignment says “ab” and it has been over a
  week since the date, it is LATE and you need a late slip
  and a Parent signature to get credit.
• Remember if you are absent 1 day you actually have 2
  days of assignments to turn in.
• I only allow 3 late assignments a quarter.
• Get your make up work in to bring up your grade.
• If you are missing an assignment look in your binder
  first to see if maybe you forgot to turn it in.
• If you have a question about your grade ask me at the
  end of the period.
                                     Find the missing angles!
                                                     Hint: Start at #1
                               #1
                         #2          60°
                                                                ANSWERS
Hint: A triangle          #4            #3
                                 87°                           #1
  totals 180°             #5            #6
                                                               #2
                                                               #3
                                                               #4
    #7                   #8
         50°                  135°           20°               #5
                                                               #6
                                                               #7
    #9             #10                                         #8
   70°         #11
                                                               #9
                                                               #10
   Hint: A quadrilateral             60°           #12
                                                               #11
        totals 360°
                                                               #12
During the Warm Up you should have gotten a
half sheet. 7th grade green
Put your name and period on this sheet.
This half sheet along with ALL OF YOUR WARM UPS
are due by Wednesday.
Warms Ups are worth 50 points! This can bring
up your B+ to an A-, or can bring down your
grade from an A to a B.
If you are missing warm ups get them from my
website: MATH WARM UPS, 3rd Quarter 7th Grade
•There is lots of vocabulary in chapter 8!
•So you have 3 Study Guides today!
• Watch the slide show & pay attention!
  TYPES OF ANGLES
ACUTE ANGLE Measures less than 90°

RIGHT ANGLE Measures exactly 90°


OBTUSE ANGLE Measures greater than 90°
and less than 180°

STRAIGHT ANGLE Measures exactly 180°
  ADJACENT ANGLES
 Two angles that share a common
 vertex and a common side.
              R    S       common
<RTS and <STU
are adjacent                 side
angles        T
                       U

                  vertex
COMPLEMENTARY ANGLES
   2 angles whose sum is 90 .
Examples            50        50  40  90
                         40
                Adjacent

           30                 30  60  90
                         60

           Not adjacent
  SUPPLEMENTARY ANGLES
    2 angles whose sum is 180 .
Examples
                 130
       Adjacent        50    130  50  180


                              110  70  180
           110          70
            Not Adjacent
SUPPLEMENTARY ANGLES
       Find The Angle’s Supplement!
                            e

               a b      d
                 c
             42

ma  138              mc  138
 supplementary to 42    supplementary to 42
VERTICAL LINES
HORIZONTAL LINES
PARALLEL LINES
Parallel lines are in a plane.
They are the same distance
apart and they never intersect.
       •            •
       A            B
  •             •
   C            D

 AB        CD       means parallel
PARALLEL LINES
Parallel lines are in a plane.
They are the same distance
apart and they never intersect.
 PERPENDICULAR
Lines that intersect to form right
angles.
          90°     90°


          90°     90°
Use the figure to find the following:
                  A           B

            E          F


                  D            C

              H        G
 Two pairs of
 Parallel Lines       Two pairs of
                      Perpendicular Lines
   AB    DC
                           AB  BC or AD
   GC    HD
                           EH  GH or EF
     SKEW LINES
 Lines that lie in different planes.
They are neither parallel nor
intersecting.
     SKEW LINES
Lines that lie in different planes.
They are neither parallel nor
intersecting. G
                         B
             F       A
                 H
                         D
             H       C

 CD and FA are SKEW LINES
 FA and BD are SKEW LINES
  Collinear                  Non-Collinear

When a set of points          When a set of points can
could be on the same line.    not be on the same line.

Any two points will always be collinear.
It takes at least three points to be non-collinear.
  Coplanar                Non-Coplanar
                                       Q


              P                            P


When a set of points          When a set of points can
could be in the same plane.   not be in the same plane.

Any three points will always be coplanar.
It takes at least four points to be non-coplanar.
Parallel Lines            Perpendicular Lines
Lines in the same plane      Lines that meet at 90 .
that do not intersect.                 X
           B
   A                              M         N
               D                       Y
       C
           AB CD
                                   XY  MN
 Skew Lines
 Lines in different planes
 that do not intersect and
 are not parallel.
Use the figure to find the following:
                   A                 B

           E                F


                   D                 C

            H                G

Two pairs of       Two pairs of          Two pairs of
Parallel Lines     Parallel Planes        Skew Lines
 AB CD           Plane AED Plane BCF AD, BF
 GC HD           Plane EFG Plane ABC EH, CG
Can You Name The Angles?
Name the obtuse angles?

                 1       2   1, 4,
             3       4       5, 8
         5       6
     7       8
Can You Name The Angles?
Name the complementary angles?

                1       2   Not possible,
            3       4       no 2 angles
                6
                            total 90º
        5
    7       8
Can You Name The Lines?
Name the Parallel Lines?

 A               1       2   B
             3       4           AB   CD
 C       5       6           D
     7       8
Can You Name The Angles?
Name the acute angles?

                 1       2   2, 3,
             3       4       6, 7
         5       6
     7       8
Can You Name The Angles?
Name the supplementary angles?
                             1&2   2&4
                 1       2
                             3&4   6&8
             3       4
         5       6           5&6   1&3
     7       8               7&8   5&7
Can You Name The Angles?
Name the right angles?

                 1       2   Not possible,
             3       4       no angle is
                 6
                             exactly 90º
         5
     7       8
Can You Name The Lines?
Name the Perpendicular Lines?

 A               1       2   B   Not possible,
             3       4           no lines
 C       5       6           D
                                 intersect at
                                 90º
     7       8
      The End
Take out your study guide
#9       Parallel Lines
 Parallel lines are in a plane. They
 are the same distance apart and
 they never intersect.
         •              •
          A                 B
     •             •
     C              D

     AB       CD                means parallel
# 10   PERPENDICULAR LINES
 Perpendicular lines are lines that
 intersect to form right angles.
   Find x            90°   3x ?
   3x = 90 degrees
   x = 30 degrees    90°   90°
# 11   SKEW LINES
  Lines that lie in different planes.
  They are neither parallel nor
  intersecting. G        B
                 F       A
                     H
                             D
                 H       C


   CD and FA are SKEW LINES
   FA and BD are SKEW LINES
Name___________
March 1, 2010
Period___

        Pg. 386-387 #1-33 All
          Show all your work for full credit!




             HAPPY MARCH!

				
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
views:30
posted:11/5/2012
language:Unknown
pages:34